11132013168 has 160 divisors (see below), whose sum is σ = 34553502720. Its totient is φ = 3417984000.

The previous prime is 11132013143. The next prime is 11132013199. The reversal of 11132013168 is 86131023111.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329043 + ... + 361293.

It is an arithmetic number, because the mean of its divisors is an integer number (215959392).

Almost surely, 2^11132013168 is an apocalyptic number.

11132013168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132013168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17276751360).

11132013168 is an abundant number, since it is smaller than the sum of its proper divisors (23421489552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11132013168 is a wasteful number, since it uses less digits than its factorization.

11132013168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32332 (or 32320 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 11132013168 its reverse (86131023111), we get a palindrome (97263036279).

The spelling of 11132013168 in words is "eleven billion, one hundred thirty-two million, thirteen thousand, one hundred sixty-eight".